Let $f (x) = 3 x - 4$ $f(x) = 3x - 4$ and $g (x) = x^{2} - 2$ $g(x) = x^2 - 2$ , what is the value of $f (g (2))$ $f(g(2))$ and $f (g (x))$ $f(g(x))$ ?

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Let $f (x) = 3 x - 4$ $f(x) = 3x - 4$ and $g (x) = x^{2} - 2$ $g(x) = x^2 - 2$ , what is the value of $f (g (2))$ $f(g(2))$ and $f (g (x))$ $f(g(x))$ ?

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Answer 1 · 2016-03-04T22:46:19

$f (g (2)) = 2$ $color(blue)(f(g(2))=2)$
$.$ $color(white)(.)$
$g (f (x)) = - 15 x + 14$ $color(blue)(g(f(x))= -15x+14)$

Explanation:

Assuming you mean:
$f (x) = 3 x - 4$ $f(x)=3x-4$
$g (x) = x^{2} - 2$ $g(x)=x^2-2$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$To determine f (g (2))$ $color(blue)("To determine "f(g(2)))$

$g (2) = 2^{2} - 2 = 4 - 2 = 2$ $g(2)=2^2-2" " =" "4-2" "=" "2$

$f (g (2)) = 3 (2) - 4 = 6 - 4 = 2$ $f(g(2))=3(2)-4" " =" "6-4" "=" "2$

$f (g (2)) = 2$ $color(blue)(f(g(2))=2)$

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$To determine g (f (x))$ $color(blue)("To determine "g(f(x)))$

Given that $f (x) = 3 x - 4$ $f(x)=3x-4$ then

$g (f (x)) = {(3 x - 4)}^{2} - 2$ $g(f(x))= (3x-4)^2-2$

$g (f (x)) = (9 x - 24 x + 16) - 2$ $g(f(x))= (9x-24x+16)-2$

$g (f (x)) = - 15 x + 14$ $color(blue)(g(f(x))= -15x+14)$

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Let $f (x) = 3 x - 4$ $f(x) = 3x - 4$ and $g (x) = x^{2} - 2$ $g(x) = x^2 - 2$ , what is the value of $f (g (2))$ $f(g(2))$ and $f (g (x))$ $f(g(x))$ ?

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Let f(x)=3x−4f(x) = 3x - 4 and g(x)=x2−2g(x) = x^2 - 2, what is the value of f(g(2))f(g(2)) and f(g(x))f(g(x))?

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Let $f (x) = 3 x - 4$ $f(x) = 3x - 4$ and $g (x) = x^{2} - 2$ $g(x) = x^2 - 2$ , what is the value of $f (g (2))$ $f(g(2))$ and $f (g (x))$ $f(g(x))$ ?